The Ore-Sato Theorem and Shift Exponents in the q-Difference Case

Abstract

The authors translate the main results in the paper entitled “Multiplicative Decomposition of Multivariate q-Hypergeometric Terms” from Chinese into English. The paper is written by Shaoshi Chen, Ruyong Feng, Guofeng Fu and Jing Kang, and published in Journal of Mathematics and Systems Science, 32(8), 1019–1032, 2012. Some minor simplification and modification are made during the translation. Based on the results in the above paper, a special form is derived for q-shift exponents appearing in the q-shift quotients of a q-hypergeometric term.

Keywords

Coboundary cocycle q-factorial term q-hypergeometric term

Du was supported by the National Natural Science Foundation of China under Grant Nos. 11501552, 11871067, and by the Fund of the Youth Innovation Promotion Association, CAS. Li was supported by the National Natural Science Foundation of China under Grant No. 11771433.